Alternate Truncations
A similar operation can truncate alternate vertices, rather than just removing them. Below is a set of polyhedra that can be generated from the Catalan solids. These have two types of vertices which can be alternately truncated. Truncating the "higher order" vertices and both vertex types produce these forms:
| Name | Original | Truncation | Full Truncation | Truncated name |
|---|---|---|---|---|
| Cube Dual of rectified tetrahedron |
Alternate truncated cube | |||
| Rhombic dodecahedron Dual of cuboctahedron |
Truncated rhombic dodecahedron | |||
| Rhombic triacontahedron Dual of icosidodecahedron |
Truncated rhombic triacontahedron | |||
| Triakis tetrahedron Dual of truncated tetrahedron |
Truncated triakis tetrahedron | |||
| Triakis octahedron Dual of truncated cube |
Truncated triakis octahedron | |||
| Triakis icosahedron Dual of truncated dodecahedron |
Truncated triakis icosahedron |
Read more about this topic: Alternation (geometry)
Famous quotes containing the word alternate:
“Strange, that some of us, with quick alternate vision, see beyond our infatuations, and even while we rave on the heights, behold the wide plain where our persistent self pauses and awaits us.”
—George Eliot [Mary Ann (or Marian)